Port-Hamiltonian fluid–structure interaction modelling and structure-preserving model order reduction of a classical guitar

Authors

Johannes Rettberg, Dominik Wittwar, Patrick Buchfink, Alexander Brauchler, Pascal Ziegler, Jörg Fehr, Bernard Haasdonk

Abstract

A fluid–structure interaction model in a port-Hamiltonian representation is derived for a classical guitar. After discretization, we combine the laws of continuum mechanics for solids and fluids within a unified port-Hamiltonian (pH) modelling approach by adapting the equations through an appropriate coordinate transformation on the second-order level. The high-dimensionality of the resulting system is reduced by model order reduction. The article focuses on pH-systems in different state transformations, a variety of basis generation techniques as well as structure-preserving model order reduction approaches that are independent from the projection basis. As main contribution, a thorough comparison of these method combinations is conducted. In contrast to typical frequency-based simulations in acoustics, transient time simulations of the system are presented. The approach is embedded into a straightforward workflow of sophisticated commercial software modelling and flexible in-house software for multi-physics coupling and model order reduction.

Citation

• Journal: Mathematical and Computer Modelling of Dynamical Systems
• Year: 2023
• Volume: 29
• Issue: 1
• Pages: 116–148
• Publisher: Informa UK Limited
• DOI: 10.1080/13873954.2023.2173238

BibTeX

@article{Rettberg_2023,
  title={{Port-Hamiltonian fluid–structure interaction modelling and structure-preserving model order reduction of a classical guitar}},
  volume={29},
  ISSN={1744-5051},
  DOI={10.1080/13873954.2023.2173238},
  number={1},
  journal={Mathematical and Computer Modelling of Dynamical Systems},
  publisher={Informa UK Limited},
  author={Rettberg, Johannes and Wittwar, Dominik and Buchfink, Patrick and Brauchler, Alexander and Ziegler, Pascal and Fehr, Jörg and Haasdonk, Bernard},
  year={2023},
  pages={116--148}
}

Download the bib file

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